Answer:
172.72 centimeters
Step-by-step explanation:
1. 5 ft. = 60 in.
2. 60 in. + 8 in. = 68 in.
3. 68 x 2.54 = 172.72
4. add unit of measurement to your answer
Henry's height in centimeters is 172.72 cm
What is unitary method ?"A process of finding the value of a single unit, and based on this value we can find the required value. "
For given question,
Henry measured 5 feet 8 inches tall.
There are 2.54 centimeters in 1 inch.
that is, 1 inch = 2.54 cm
First we convert Henry's height in inches.
We know that 1 feet = 12 inches
⇒ 5 feet = 60 inches
so, Henry's height in inches would be,
5 feet 8 inches
= (60 + 8) inches
= 68 inches
From given, 1 inch = 2.54 cm
⇒ 68 inches = 172.72 cm
Therefore, Henry's height in centimeters is 172.72 cm
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What is a perfect squares
Answer:
A square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 ×3
HOPE IT WILL HELP U!!!!!!
Question 3 Multiple Choice Worth 1 points)
(09 02 MC)
Given the function () 2x + 3x + 10. find f(1) and (3). Choose the statement that is true concerning these two values,
The value of t(1) is the same as the value of f(3).
The value of (1) cannot be compared to the value of (3)
The value of t(1) is larger than the value of (3)
The value of t(1) is smaller than the value of (3)
Answer:
The value of t(1) is smaller than the value of (3)
Step-by-step explanation:
Given function:
f(x) = 2x + 3x + 10
Insert the value x = 1 into the function:
f(1) = 2(1) + 3(1) + 10 = 5 + 10 = 15
Insert the value x = 3 into the function:
f(3) = 2(3) + 3(3) + 10 = 6 + 9 + 10 = 25
f(3) is larger than f(1)
The table represents some points on the graph of a linear function. What is the slope of the line of this function?
Answer:
-3/11
Step-by-step explanation:
using slope intercept form, y=mx+b
we know from x=0 that b=5
so we just substitute one x value m(-11)+5=8
solve for m and you get the slope
Describe the relationship between the point B (16, 24) and the point
B' (8, 12) in terms of dilations.
(x, y) → ()
Answer:
(x/2,(y/2)
Step-by-step explanation:
(16/2,24/2)
(8,12)
If f(x) = 3a|4x - 4| - ax, where a is some constant, find f '(1). (4 points)
Select one:
a. 0
b. not enough information
c. e
d. 1
Annswer girl
Step-by-step explanation:
just trying to get answers
g If a snowball melts so that its surface area decreases at a rate of 8 cm 2/min, find the rate at which the diameter decreases when the diameter is 9 cm.
Step-by-step explanation:
The snowball is spherical in nature
The total surface area of the ball = 4πr²
Or 4π(d/2)²
S = 4πd²/4
S = πd²
d is the diameter of the ball
The rate at which the area is decreasing is expressed as;
dS/dt = dS/dd • dd/dt
dd/dt is the rate at which the diameter is decreasing
dS/dd = 2πd
dS/dt = 2πd • dd/dt
dS/dt = 2π(9) • dd/dt
8 = 18π•dd/dt
dd/dt = 8/18π
dd/dt = 4/9(3.14)
dd/dt = 4/28.26
dd/dt = 0.1415cm/min
Hence the diameter is decreasing at the rate of 0.1415cm/min
In the past, patrons at a cinema spent an average of $ 2.50 for popcorn with standard deviation of $ 0.90. The amount of these expenditures is normally distributed . Following an intensive public campaign about the negative health effects of eating popcorn by a local medical school, the mean expenditures for a sample of 18 patrons is found to be $ 2.10. At 0.01 level of significance, does this recent experience suggest decline in spending
Answer:
There's no evidence to show that the recent experience suggests a decline in spending.
Step-by-step explanation:
We are given;
Population mean; μ = $2.5
Population Standard deviation; σ = $0.9
Sample mean; x¯ = $2.1
Sample size; n = 18
Significance level; α = 0.01
Let's define the hypothesis;
Null hypothesis; H0: μ ≥ $2.5
Alternative hypothesis; Ha: μ < $2.5
z-score formula is;
z = (x¯ - μ)/(σ/√n)
z = (2.1 - 2.5)/(0.9/√18)
z = -0.4/0.2121
z = -1.886
Using the p-value from z-score calculator attached and using z = -1.886; α = 0.01; one tail; we have;
P-value = 0.2965
This is more than the significance level. Thus, we will fail to reject the null hypothesis and conclude that there is no evidence to show that the recent experience suggests a decline in spending.
John drove 144 miles in 6 hours. If he drove at a constant rate, how far did he travel in one hour
Answer:
24 miles in 1 hour
144 divded by 6 = 24
Hope this helps! If so I would appricate brainliest
Answer:
The answer is 24 milesStep-by-step explanation:
In order to solve this question we use ratio and proportion
From the question, for 6 hours John drove 144 miles
If 6 hours = 144 miles
Then one hour would be
[tex] \frac{144 \times 1}{6} = \frac{144}{6} \\ [/tex]
We have the final answer as
24 milesMike has at least 250 in his savings account.Which inequality represents this situation
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Answer:
yeah fr
Step-by-step explanation:
2a-3b=4, solve for b
Answer:
b= - 4/3 + 2a/3
Step-by-step explanation:
The required simplified expression for b is b = [2a - 4] / 3.
Given that,
An expression is given,
2a -3b = 4
The above-given expression should be reorganized in order to solve b.
Mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
2a - 3b = 4
-3b = 4 - 2a
b = [4 - 2a ] / -3
b = [2a - 4] / 3
Thus, the required simplified expression for b is b = [2a - 4] / 3.
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what is the equation in slope-intercept form of the line that passes through (-4,2) and (12,6)
Answer:
y = .25x + 3
Step-by-step explanation:
First, you need to find the slope of the equation which is change in y over change in x. For this question, it's (6-2)/(12-(-4)) = 4/16 = 1/4
After, choose a point and plug it into the point slope formula: y - y0 = m(x - x0)
I chose the first point.
You should get y - 2 = .25(x + 4)
y -2 = .25x + 1
y = .25x + 3
To use the slope-intercept form, we need a slope.
Recall that the slope of a line m = (y2 - y1) / (x2 - x1). We are given the coordinates of two points, both of which lie on the line (the line passes through them): (-4,2) and 12,6).
So given these two points, let's let x1 = -4 and y1 = 2; and let's let x2 = 12 and y2 = 6. Substituting these values into the equation for the slope of a line, we get
m = (6 - 2) / [12 - (-4)] = 4 / 16, or m = 1/4
So now we have the slope, and we can use the point-slope form of the equation of a line to help us determine the y-intercept. The point-slope form is y - y1 = m * (x - x1)
Substituting our slope m = 1/4 and either one of the points (let's say the first point), we have
y - 2 = 1/4 * [x - (-4)] = 1/4 * (x + 4)
Now add 2 to both sides of this equation, and we have y = 1/4 * (x + 4) + 2
Using the distributive law, we can further reduce this to y = 1/4 * x + 1 + 2, or y = 1/4 * x + 3
Finally, the y-intercept of a line is where the line intersects the y-axis or, mathematically speaking, where the x-coordinate is equal to zero. So let's let x = 0 in the equation above, and solve for y. Substituting x = 0 into the equation for our line, we now have
y = 1/4 * 0 + 3 = 3
So our y-intercept is 3 (three). Now we can write the equation for our line in the slope-intercept form:
y = m * x + b, where m is the slope and b is the y-intercept. Substituting for m and b, we get
y = 1/4 * x + 3.
So the equation in slope-intercept form of the line that passes through points (-4,2) and (12,6) is
y = 1/4 * x + 3
(To check your answer, substitute either one of the points into the equation...)
PLZ ANSWER FAST (50 POINTS + BRAINLIEST)
Your parents deposited $1,500 into a new college fund that will earn an annual compound interest rate of 3%. How much money will be in the account when you need it for college in 5 years? (write and use the compound interest formula)
Answer:
$1,738.91
Step-by-step explanation:
Future value = A(1+i)^n
A= $1,500
i = 3%
n - 5
Future value = $1,500*(1+0.03)^5
Future value = $1,500*(1.03)^5
Future value = $1,500*(1.03)^5
Future value = $1,500*1.1592740743
Future value = $1738.91111145
Future value = $1,738.91
$1,738.91 is the amount of money you will meet in the account when you need it for college in 5 years.
Ten less than 5 times the value of a number is equal to 10 times the quantity of
12 more than one-fourth of the number. If a is the number, what is the value of a?
Answer:
52
Step-by-step explanation:
given that the number is a
The expression for Ten less than 5 times the value of a number is given by
5a - 10
10 times the quantity of 12 more than one-fourth of the number.
a/4 is one-fourth of number
12 more than one-fourth of the number
a/4 + 12
expression for 10 times the quantity of 12 more than one-fourth of the number. is given by
10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120
Given that the above two expression are equal
equating them we have
5a - 10 = 2.5a + 120
adding 10 both sides
=>5a - 10+ 10 = 2.5a + 120 + 10
=> 5a = 2.5a + 130
subtracting 2.5a from both sides
=> 5a - 2.5a = 2.5a + 130 - 2.5a
=> 2.5a = 130
dividing both side by 2.5
=> a = 130/2.5 = 52
Thus, value of a is 52
What Ratio can you write that compares days with games two days without them right this ratio three ways to
Answer:
As a fraction: [tex]\mathbf{\dfrac{363}{2}}[/tex]
As a colon, 363:2
By using the word to; we have: 363 to 2
Step-by-step explanation:
A ratio is a comparison of two quantities. We can write a ratio as a fraction, using the word “to,” or using a colon.
A rate is a ratio that compares two different units, such as distance and time, or a ratio that compares two different things measured with the same unit, such as cups of water and litres of petrol.
We can use a ratio to compare the number of days regardless of employing any professional sports events each year with the total number of days in a year.
The ratio with which we can write, that compares days with games in a year with two days without them can be written in three ways.
Suppose there are 365 days in a year and it appears that two days in that year exist without a game.
i.e.
365 - 2(days without game) = 363 days with a game
Then:
As a fraction: [tex]\mathbf{\dfrac{363}{2}}[/tex]
As a colon, 363:2
By using the word to; we have: 363 to 2
Answer:
a to b a:b a/b
Ratio that compare days with games to days without them:
1- 363 to 2
2- 363 : 2
3- 363 / 2
Step-by-step explanation:
Ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
A ratio compares two quantities by division, with the dividend.
We can write a ratio to compare the number of days without any professional sports events each year with the total number of days in a year.
There are three ways to write a ratio to express the relationship between two quantities.
a to b a:b a/b
Ratio that compare days with games to days without them:
1- 363 to 2
2- 363 : 2
3- 363 / 2
These are the three ways to describe a ratio.
Trapezoid STUV is similar to trapezoid FGH).
What is the value of m in centimeters?
A.7
B.4
C.16
D.6.25
Answer:
A. or 7 because to get to 10 from 8 u add 2 adding 2 on to 5 gets u 7
Issac read that 32% of people owned dogs . What decimal represents the portion of people who do not own dogs ?
Answer:
68 % = .68
Step-by-step explanation:
Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725 ?Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725 ?
The correct and complete question is shown below;
The random variable X denotes the GMAT scores of MBA students who were accepted to top MBA programs in Fall 2012. Assume that is normally distributed with a mean [tex]\mu_x[/tex] = 675 and a standard deviation [tex]\sigma_x = 30[/tex]
Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725?
Answer:
The probability that the student's GMAT score is higher than 725 = 0.3928
Step-by-step explanation:
From the given information:
Let X be the random variable that follows a normal distribution;
Then;
[tex]X \sim N( \mu_x = 675, \sigma_x = 30)[/tex]
To objective is to determine the probability that [tex]P(X > 725 | X > 710)[/tex]
[tex]P(X > 725 | X > 710)= \dfrac{P(X > 725 \cap X > 710 )}{P(X > 725)}[/tex]
[tex]\dfrac{P(X > 725 )}{P(X > 710)}=\dfrac{1 - P(X < 725) }{1- P(X < 710)}[/tex]
By using the EXCEL FORMULA: [tex]"= NORMDIST(x, \mu_x , \sigma_x , 1)"[/tex]
P(X< 725) = [tex]" = NORMDIST(725,675,30,1)"[/tex]
P(X< 725) = 0.9522
P(X< 710) = [tex]" = NORMDIST(710,675,30,1)"[/tex]
P(X< 710) =0.8783
[tex]P(X > 725 | X > 710)=\dfrac{1 - 0.9522}{1- 0.8783}[/tex]
[tex]P(X > 725 | X > 710)=\dfrac{0.0478}{0.1217}[/tex]
[tex]P(X > 725 | X > 710)=0.3928[/tex]
I REALLY NEED THE HELP ASAP PLEASE
Solve - 4(x + 10) – 6 = -3(x - 2). (1 point)
-40
-46
-52
52
Answer:
X=-52
Step-by-step explanation:
-4(X+10)-6=-3(x-2)
-4x-40-6=-3x+6
-4x+3x=6+46
-x=52
X=-52
I NEED HELP LIKE REALLY REALLY FAST
Answer:
56 inches I believe.
I'm not 100% sure.
The surface area is 50 square inches
HELP ME PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Left: -1 2/3
Right: -1 1/4
Help a brother out I haven’t slept in like 2 days
Answer:
pleae do my problem and ill help u
how many one and one fourths are in four and one half
Step-by-step explanation:
The distance from Chicago to Pittsburgh is 462 Mi on your phone that distance is represented by 2 in using the same scale if the distance between two cities on your phone is 3in how many miles apart are they
Answer:
693 miles
Step-by-step explanation:
Given that :
Distance between Chicago to Pittsburgh = 462 Mi
On phone :
462 Miles = 2 inches
Using the same scale :
If distance between two cities is 3 inches, how many miles apart are they?
Let distance = d
462 miles = 2 inches
d = 3 inches
Cross multiply
2d = 462 * 3
2d = 1386
d = 1386 / 2
d = 693 miles
Plzzzzzzzz heeeelllppp
Being tested hurry pls.
All of the following statements about the Jumanos are true except: a. They hunted buffalo. b. They were avid traders. c. They lived along the Rio Grande. d. They still live near El Paso today.
Answer:
b
Step-by-step explanation:
If you have 4 gallons of gas to drive 120 miles how many miles can u drive if you have 1 gallon of gas
Answer:
1 gallon of gas
= 120/4
= 30 miles
a produce store sells 63 apples if the ratio of red apples to green apples was sold was 7 to 2 what is the combined amount of red apples and Green Apple sold
here is the answer I just took a picture because I already answered this for someone eles
Answer:
49 red apples and 14 green apples
Step-by-step explanation:
63 divided by (7+2) equals 7, 7 times 7 equals number of red apples and 7 times 2 equals the number of green apples
5.
5. Kara is zip-lining in the rainforest. She is standing at the top of Platform A
ready to zip-line to Platform B. If the horizontal distance between the
platforms is 500 feet and the length of the zip-line is 685 feet, find the
angle of depression from Platform Ato Platform B to the nearest tenth.
Answer:
The angle of depression from Platform A to Platform B is [tex]43.1^{\circ}[/tex]
Step-by-step explanation:
Refer the attached figure
The horizontal distance between the platforms is 500 feet i.e. BC = 500
The length of the zip-line is 685 feet i.e. AB = 685
We are supposed to find the angle of depression from Platform A to Platform B
Hypotenuse = 685
Base = 500
[tex]Cos \theta = \frac{Base}{Hypotenuse}\\Cos \theta = \frac{500}{685}\\\theta = cos^{-1}(\frac{500}{685})\\\theta = 43.11^{\circ}[/tex]
Hence the angle of depression from Platform A to Platform B is [tex]43.1^{\circ}[/tex]
MyCar Rental charges $15 per day to rent one of its cars plus an
$8 service charge.
a. Write an equation that gives the total cost, y, for the number of
days, x, that a car is rented.
b. State the slope and the y-intercept of the line that your equation
represents.
Answer:
y = 15x + 8 slope = 15 y-intercept = 8
Step-by-step explanation:
What is mAngleMHJ? HELP PLEASE
35°
50°
72.5°
92.5°
Answer:
35
Step-by-step explanation:
set 2x-20 = x+15 and solve
Answer:
50
Step-by-step explanation:
EDGE2021
